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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|
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 | ||
|