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Chaos [[electronic resource] ] : a very short introduction / / Leonard A. Smith
Chaos [[electronic resource] ] : a very short introduction / / Leonard A. Smith
Autore Smith Leonard A
Pubbl/distr/stampa Oxford ; ; New York, : Oxford University Press, 2007
Descrizione fisica 1 online resource (180 p.) : ill
Disciplina 003.857
Collana Very short introductions
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
Soggetto genere / forma Electronic books.
ISBN 0-19-151807-7
1-281-14703-6
1-4294-7006-2
9786611147037
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910458866403321
Smith Leonard A  
Oxford ; ; New York, : Oxford University Press, 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Chaos : a very short introduction / / Leonard A. Smith
Chaos : a very short introduction / / Leonard A. Smith
Autore Smith Leonard A
Pubbl/distr/stampa [Oxford] : , : Oxford University Press, , 2007
Descrizione fisica 1 online resource (180 pages.) : illustrations
Disciplina 003.857
Collana Very short introductions
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
ISBN 0-19-151807-7
1-281-14703-6
1-4294-7006-2
9786611147037
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910792107803321
Smith Leonard A  
[Oxford] : , : Oxford University Press, , 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Chaos : a very short introduction / / Leonard A. Smith
Chaos : a very short introduction / / Leonard A. Smith
Autore Smith Leonard A
Pubbl/distr/stampa [Oxford] : , : Oxford University Press, , 2007
Descrizione fisica 1 online resource (180 pages.) : illustrations
Disciplina 003.857
Collana Very short introductions
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
ISBN 0-19-151807-7
1-281-14703-6
1-4294-7006-2
9786611147037
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910816491103321
Smith Leonard A  
[Oxford] : , : Oxford University Press, , 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Chaos and chance : an introduction to stochastic aspects of dynamics / Arno Berger
Chaos and chance : an introduction to stochastic aspects of dynamics / Arno Berger
Autore Berger, Arno
Pubbl/distr/stampa Berlin ; New York : Walter de Gruyter, 2001
Descrizione fisica x, 245 p. : ill. ; 24 cm
Disciplina 515.352
Collana De Gruyter textbook
Soggetto topico Differentiable dynamical systems
Chaotic behavior in systems
ISBN 3110169916
Classificazione AMS 37-01
AMS 37A50
AMS 37A30
AMS 70K55
LC QA614.8.B48
53.1.65
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Introduction. Long-time behaviour of mechanical systems ; Iteration of maps ; Elementary stochastic processes ; Basic aspects of discrete dynamical systems. Hyperbolicity and bifurcations ; How may simple systems become complicated? Facing deterministic chaos ; Symbolic dynamical systems ; The emergence of chaos ; Newton's method for polynomials: a case study ; Circle maps, rotation numbers, and minimality ; Gimpses of billiards ; Horseshoes, attractors, and natural extensions ; Toral maps and shadowing ; Ergodic theory I. Foundations. The statistical point of view ; Invariant and ergodic measures ; Ergodic theorems ; Aspects of mixing ; Mixing properties ; The concept of entropy ; Ergodic theory II: Applications. The Frobenius-Perron operator ; Asymptotic behaviour of densities ; Piecewise expanding Markov maps ; A short look at Markov chains ; Class structure, absorption probabilities, and hitting times ; Recurrence and transience: dynamical classification of states ; The long-time behaviour of Markov chains ; The dynamical evolution of measures : Basic examples and concepts ; Asymptotic stability ; Back to geometry: fractal sets and measures ; Three final examples ; Searching for non-normal numbers ; The fractal nature of Brownian paths ; Patterns of congruence in the Pascal triangle
Record Nr. UNISALENTO-991000160479707536
Berger, Arno  
Berlin ; New York : Walter de Gruyter, 2001
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Chaos and Fractals [[electronic resource] ] : An Elementary Introduction
Chaos and Fractals [[electronic resource] ] : An Elementary Introduction
Autore Feldman David P
Pubbl/distr/stampa Oxford, : OUP Oxford, 2012
Descrizione fisica 1 online resource (431 p.)
Disciplina 515.39
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
Fractals
Soggetto genere / forma Electronic books.
ISBN 1-283-64388-X
0-19-163752-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; I: Introducing Discrete Dynamical Systems; 0 Opening Remarks; 0.1 Chaos; 0.2 Fractals; 0.3 The Character of Chaos and Fractals; 1 Functions; 1.1 Functions as Actions; 1.2 Functions as a Formula; 1.3 Functions are Deterministic; 1.4 Functions as Graphs; 1.5 Functions as Maps; Exercises; 2 Iterating Functions; 2.1 The Idea of Iteration; 2.2 Some Vocabulary and Notation; 2.3 Iterated Function Notation; 2.4 Algebraic Expressions for Iterated Functions; 2.5 Why Iteration?; Exercises; 3 Qualitative Dynamics: The Fate of the Orbit; 3.1 Dynamical Systems
3.2 Dynamics of the Squaring Function3.3 The Phase Line; 3.4 Fixed Points via Algebra; 3.5 Fixed Points Graphically; 3.6 Types of Fixed Points; Exercises; 4 Time Series Plots; 4.1 Examples of Time Series Plots; Exercises; 5 Graphical Iteration; 5.1 An Initial Example; 5.2 The Method of Graphical Iteration; 5.3 Further Examples; Exercises; 6 Iterating Linear Functions; 6.1 A Series of Examples; 6.2 Slopes of +1 or -1; Exercises; 7 Population Models; 7.1 Exponential Growth; 7.2 Modifying the Exponential Growth Model; 7.3 The Logistic Equation; 7.4 A Note on the Importance of Stability
7.5 Other r ValuesExercises; 8 Newton, Laplace, and Determinism; 8.1 Newton and Universal Mechanics; 8.2 The Enlightenment and Optimism; 8.3 Causality and Laplace's Demon; 8.4 Science Today; 8.5 A Look Ahead; II: Chaos; 9 Chaos and the Logistic Equation; 9.1 Periodic Behavior; 9.2 Aperiodic Behavior; 9.3 Chaos Defined; 9.4 Implications of Aperiodic Behavior; Exercises; 10 The Butterfly Effect; 10.1 Stable Periodic Behavior; 10.2 Sensitive Dependence on Initial Conditions; 10.3 SDIC Defined; 10.4 Lyapunov Exponents; 10.5 Stretching and Folding: Ingredients for Chaos
10.6 Chaotic Numerics: The Shadowing LemmaExercises; 11 The Bifurcation Diagram; 11.1 A Collection of Final-State Diagrams; 11.2 Periodic Windows; 11.3 Bifurcation Diagram Summary; Exercises; 12 Universality; 12.1 Bifurcation Diagrams for Other Functions; 12.2 Universality of Period Doubling; 12.3 Physical Consequences of Universality; 12.4 Renormalization and Universality; 12.5 How are Higher-Dimensional Phenomena Universal?; Exercises; 13 Statistical Stability of Chaos; 13.1 Histograms of Periodic Orbits; 13.2 Histograms of Chaotic Orbits; 13.3 Ergodicity; 13.4 Predictable Unpredictability
16.6 Fractals, Defined Again
Record Nr. UNINA-9910461771603321
Feldman David P  
Oxford, : OUP Oxford, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Chaos and Fractals [[electronic resource] ] : An Elementary Introduction
Chaos and Fractals [[electronic resource] ] : An Elementary Introduction
Autore Feldman David P
Pubbl/distr/stampa Oxford, : OUP Oxford, 2012
Descrizione fisica 1 online resource (431 p.)
Disciplina 515.39
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
Fractals
ISBN 1-283-64388-X
0-19-163752-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; I: Introducing Discrete Dynamical Systems; 0 Opening Remarks; 0.1 Chaos; 0.2 Fractals; 0.3 The Character of Chaos and Fractals; 1 Functions; 1.1 Functions as Actions; 1.2 Functions as a Formula; 1.3 Functions are Deterministic; 1.4 Functions as Graphs; 1.5 Functions as Maps; Exercises; 2 Iterating Functions; 2.1 The Idea of Iteration; 2.2 Some Vocabulary and Notation; 2.3 Iterated Function Notation; 2.4 Algebraic Expressions for Iterated Functions; 2.5 Why Iteration?; Exercises; 3 Qualitative Dynamics: The Fate of the Orbit; 3.1 Dynamical Systems
3.2 Dynamics of the Squaring Function3.3 The Phase Line; 3.4 Fixed Points via Algebra; 3.5 Fixed Points Graphically; 3.6 Types of Fixed Points; Exercises; 4 Time Series Plots; 4.1 Examples of Time Series Plots; Exercises; 5 Graphical Iteration; 5.1 An Initial Example; 5.2 The Method of Graphical Iteration; 5.3 Further Examples; Exercises; 6 Iterating Linear Functions; 6.1 A Series of Examples; 6.2 Slopes of +1 or -1; Exercises; 7 Population Models; 7.1 Exponential Growth; 7.2 Modifying the Exponential Growth Model; 7.3 The Logistic Equation; 7.4 A Note on the Importance of Stability
7.5 Other r ValuesExercises; 8 Newton, Laplace, and Determinism; 8.1 Newton and Universal Mechanics; 8.2 The Enlightenment and Optimism; 8.3 Causality and Laplace's Demon; 8.4 Science Today; 8.5 A Look Ahead; II: Chaos; 9 Chaos and the Logistic Equation; 9.1 Periodic Behavior; 9.2 Aperiodic Behavior; 9.3 Chaos Defined; 9.4 Implications of Aperiodic Behavior; Exercises; 10 The Butterfly Effect; 10.1 Stable Periodic Behavior; 10.2 Sensitive Dependence on Initial Conditions; 10.3 SDIC Defined; 10.4 Lyapunov Exponents; 10.5 Stretching and Folding: Ingredients for Chaos
10.6 Chaotic Numerics: The Shadowing LemmaExercises; 11 The Bifurcation Diagram; 11.1 A Collection of Final-State Diagrams; 11.2 Periodic Windows; 11.3 Bifurcation Diagram Summary; Exercises; 12 Universality; 12.1 Bifurcation Diagrams for Other Functions; 12.2 Universality of Period Doubling; 12.3 Physical Consequences of Universality; 12.4 Renormalization and Universality; 12.5 How are Higher-Dimensional Phenomena Universal?; Exercises; 13 Statistical Stability of Chaos; 13.1 Histograms of Periodic Orbits; 13.2 Histograms of Chaotic Orbits; 13.3 Ergodicity; 13.4 Predictable Unpredictability
16.6 Fractals, Defined Again
Record Nr. UNINA-9910785964703321
Feldman David P  
Oxford, : OUP Oxford, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Chaos and Fractals [[electronic resource] ] : An Elementary Introduction
Chaos and Fractals [[electronic resource] ] : An Elementary Introduction
Autore Feldman David P
Pubbl/distr/stampa Oxford, : OUP Oxford, 2012
Descrizione fisica 1 online resource (431 p.)
Disciplina 515.39
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
Fractals
ISBN 1-283-64388-X
0-19-163752-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Contents; I: Introducing Discrete Dynamical Systems; 0 Opening Remarks; 0.1 Chaos; 0.2 Fractals; 0.3 The Character of Chaos and Fractals; 1 Functions; 1.1 Functions as Actions; 1.2 Functions as a Formula; 1.3 Functions are Deterministic; 1.4 Functions as Graphs; 1.5 Functions as Maps; Exercises; 2 Iterating Functions; 2.1 The Idea of Iteration; 2.2 Some Vocabulary and Notation; 2.3 Iterated Function Notation; 2.4 Algebraic Expressions for Iterated Functions; 2.5 Why Iteration?; Exercises; 3 Qualitative Dynamics: The Fate of the Orbit; 3.1 Dynamical Systems
3.2 Dynamics of the Squaring Function3.3 The Phase Line; 3.4 Fixed Points via Algebra; 3.5 Fixed Points Graphically; 3.6 Types of Fixed Points; Exercises; 4 Time Series Plots; 4.1 Examples of Time Series Plots; Exercises; 5 Graphical Iteration; 5.1 An Initial Example; 5.2 The Method of Graphical Iteration; 5.3 Further Examples; Exercises; 6 Iterating Linear Functions; 6.1 A Series of Examples; 6.2 Slopes of +1 or -1; Exercises; 7 Population Models; 7.1 Exponential Growth; 7.2 Modifying the Exponential Growth Model; 7.3 The Logistic Equation; 7.4 A Note on the Importance of Stability
7.5 Other r ValuesExercises; 8 Newton, Laplace, and Determinism; 8.1 Newton and Universal Mechanics; 8.2 The Enlightenment and Optimism; 8.3 Causality and Laplace's Demon; 8.4 Science Today; 8.5 A Look Ahead; II: Chaos; 9 Chaos and the Logistic Equation; 9.1 Periodic Behavior; 9.2 Aperiodic Behavior; 9.3 Chaos Defined; 9.4 Implications of Aperiodic Behavior; Exercises; 10 The Butterfly Effect; 10.1 Stable Periodic Behavior; 10.2 Sensitive Dependence on Initial Conditions; 10.3 SDIC Defined; 10.4 Lyapunov Exponents; 10.5 Stretching and Folding: Ingredients for Chaos
10.6 Chaotic Numerics: The Shadowing LemmaExercises; 11 The Bifurcation Diagram; 11.1 A Collection of Final-State Diagrams; 11.2 Periodic Windows; 11.3 Bifurcation Diagram Summary; Exercises; 12 Universality; 12.1 Bifurcation Diagrams for Other Functions; 12.2 Universality of Period Doubling; 12.3 Physical Consequences of Universality; 12.4 Renormalization and Universality; 12.5 How are Higher-Dimensional Phenomena Universal?; Exercises; 13 Statistical Stability of Chaos; 13.1 Histograms of Periodic Orbits; 13.2 Histograms of Chaotic Orbits; 13.3 Ergodicity; 13.4 Predictable Unpredictability
16.6 Fractals, Defined Again
Record Nr. UNINA-9910826490003321
Feldman David P  
Oxford, : OUP Oxford, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Chaotic dynamics : from the one-dimensional endomorphism to the two-dimensional diffeomorphism / Christian Mira
Chaotic dynamics : from the one-dimensional endomorphism to the two-dimensional diffeomorphism / Christian Mira
Autore Mira, Christian
Pubbl/distr/stampa Singapore : World Scientific, 1987
Descrizione fisica xix, 449 p. : ill. ; 23 cm.
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
ISBN 9971503247
Classificazione 53.1.3
53.1.65
Q172.5.C45M57
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione en
Record Nr. UNISALENTO-991000847789707536
Mira, Christian  
Singapore : World Scientific, 1987
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems / David Ruelle ; Stefano Isola
Chaotic evolution and strange attractors : the statistical analysis of time series for deterministic nonlinear systems / David Ruelle ; Stefano Isola
Autore Ruelle, David
Pubbl/distr/stampa Cambridge : Cambridge University Press, 1989
Descrizione fisica xi, 96 ; 22 cm.
Disciplina 515.35
Altri autori (Persone) Isola, Stefano
Soggetto topico Chaotic behavior in systems
Differentiable dynamical systems
Ergodic theory
ISBN 0521362725
Classificazione AMS 34C
AMS 34C35
AMS 58F
AMS 70K
QA614.8.R83
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione ||
Record Nr. UNISALENTO-991000739889707536
Ruelle, David  
Cambridge : Cambridge University Press, 1989
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Chaotic numerics : an International Workshop on the Approximation and Computation of Complicated Dynamical Behavior, July 12-16, 1993, Deakin University, Geelong, Australia / / Peter E. Kloeden, Kenneth J. Palmer, editors
Chaotic numerics : an International Workshop on the Approximation and Computation of Complicated Dynamical Behavior, July 12-16, 1993, Deakin University, Geelong, Australia / / Peter E. Kloeden, Kenneth J. Palmer, editors
Pubbl/distr/stampa Providence, Rhode Island : , : American Mathematical Society, , [1994]
Descrizione fisica 1 online resource (ix, 277 p. )
Disciplina 515/.352
Collana Contemporary mathematics
Soggetto topico Differentiable dynamical systems
Numerical analysis
Chaotic behavior in systems
Soggetto genere / forma Electronic books.
ISBN 0-8218-7763-1
0-8218-5509-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910480570903321
Providence, Rhode Island : , : American Mathematical Society, , [1994]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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