Autore	Matsumoto Shigenori <1947->
Pubbl/distr/stampa	Providence, Rhode Island : , : American Mathematical Society, , [2003]
Descrizione fisica	1 online resource (106 p.)
Disciplina	514/.72
Collana	Memoirs of the American Mathematical Society
Soggetto topico	Vector fields Foliations (Mathematics)
Soggetto genere / forma	Electronic books.
ISBN	1-4704-0369-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	""Contents""; ""Chapter 1. Introduction""; ""Chapter 2. Complete affine flows""; ""1. Theorem of Nagano-Yagi and its application""; ""2. Nilpotent holonomy""; ""3. Periodic orbit case""; ""4. No periodic orbit case""; ""Chapter 3. Luxuriant Foliations""; ""1. Luxuriant foliations""; ""2. Horizontal flow on a leaf of F""; ""3. Minimality of the foliation F""; ""4. Nontriviality of the holonomy of F""; ""5. Topology of the flow Ï?""; ""Chapter 4. SL-flows""; ""1. SL-flows are horizontal""; ""2. Solvable case""; ""3. Fuchsian case""; ""4. The homotopy lifting property""; ""5. Dense Case"" ""Chapter 5. SA-flows""""1. Preliminaries""; ""2. Affine subsurfaces""; ""3. Elliptic and parabolic periodic orbits""; ""4. The characteristic subgroup""; ""5. K is trivial; no periodic orbits case""; ""6. K is trivial; periodic orbits case""; ""7. Case K is nontrivial""; ""Bibliography""
Record Nr.	UNINA-9910481003103321

Edizione	[1st ed. 1990.]
Pubbl/distr/stampa	Berlin, Germany : , : Springer, , [1990]
Descrizione fisica	1 online resource (VIII, 400 p.)
Disciplina	515.35
Collana	Lecture Notes in Mathematics
Soggetto topico	Vector fields Bifurcation theory
ISBN	3-540-46722-X
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Retard à la bifurcation : du local au global -- On bifurcation of limit cycles from centers -- On the saddle loop bifurcation -- Finitude des cycles-limites et accelero-sommation de l’application de retour -- Limit cycles and zeroes of Abelian integrals satisfying third order picard — Fuchs equations -- On the basin of attraction of dissipative planar vector fields -- Periodic lines of curvature bifurcating from Darbouxian umbilical connections -- Conditions for a centre and the bifurcation of limit cycles in a class of cubic systems -- On first integrals of linear systems, Frobenius integrability theorem and linear representations of Lie algebras -- Cyclicite finie des polycycles hyperboliques de champs de vecteurs du plan mise sous forme normale -- Bifurcation of limit cycles -- Universal unfolding of a singularity of a symmetric vector field with 7-jet C?-equivalent to y ?/?x+(±x3 ±x6y) ?/?y -- Bifurcation in a quartic polynomial system arising in biology -- On the finiteness of certain boundary cycles for NTH degree polynomial vector fields -- Algebraic integrals of quadratic systems with a weak focus -- Rotated vector fields decomposition method and its application -- Remarks on the delay of the loss of stability of systems with changing parameter.
Record Nr.	UNISA-996466866503316

Autore	Maesschalck Peter De
Edizione	[1st ed. 2021.]
Pubbl/distr/stampa	Cham, Switzerland : , : Springer, , [2021]
Descrizione fisica	1 online resource (XXI, 408 p. 101 illus., 42 illus. in color.)
Disciplina	515.392
Collana	Ergebnisse der Mathematik und ihrer Grenzgebiete
Soggetto topico	Singular perturbations (Mathematics) Vector fields Bifurcation theory Pertorbacions singulars (Matemàtica) Camps vectorials Teoria de la bifurcació
Soggetto genere / forma	Llibres electrònics
ISBN	3-030-79233-1
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Part I Basic Notions -- 1 Basic Definitions and Notions -- 2 Local Invariants and Normal Forms -- 3 The Slow Vector Field -- 4 Slow-Fast Cycles -- 5 The Slow Divergence Integral -- 6 Breaking Mechanisms -- 7 Overview of Known Results -- Part II Technical Tools -- 8 Blow-Up of Contact Points -- 9 Center Manifolds -- 10 Normal Forms -- 11 Smooth Functions on Admissible Monomials and More -- 12 Local Transition Maps -- Part III Results and Open Problems -- 13 Ordinary Canard Cycles -- 14 Transitory Canard Cycles with Slow-Fast Passage Through a Jump Point -- 15 Transitory Canard Cycles with Fast-Fast Passage Through a Jump Point -- 16 Outlook and Open Problems -- Index -- References.
Record Nr.	UNINA-9910494560603321

Autore	Risteski Ice
Pubbl/distr/stampa	Singapore ; ; River Edge, NJ, : World Scientific Pub. Co., c2001
Descrizione fisica	1 online resource (336 p.)
Disciplina	515.7
Altri autori (Persone)	CovachevValéry
Soggetto topico	Functional equations Vector fields Vector valued functions
Soggetto genere / forma	Electronic books.
ISBN	1-281-95142-0 9786611951429 981-279-987-7
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Preface; Contents; PART 1 Linear Complex Vector Functional Equations; Chapter 1 General Classes of Cyclic Functional Equations; 1 Basic Cyclic Functional Equation; 2 Derived Cyclic Functional Equation; 3 Paracyclic Functional Equation; 4 Semicyclic Functional Equation; 5 Special Cyclic Functional Equation; 6 Condensed Cyclic Functional Equation; Chapter 2 Functional Equations with Operations between Arguments; 7 Operator Functional Equation; 8 Generalized Functional Equation; 9 Simple Functional Equations; 10 Functional Equations with Several Unknown Functions 11 Frechet's Functional Equations12 Functional Equations with Two Operations; Chapter 3 Functional Equations with Constant Parameters; 13 General Parametric Functional Equation; 14 Special Parametric Functional Equation; 15 Expanded Parametric Functional Equation; 16 General Expanded Parametric Functional Equation; Chapter 4 Functional Equations with Constant Coefficients; 17 Matrix Equations; 18 Homogeneous Functional Equations with Constant Coefficients; 19 Nonhomogeneous Functional Equations with Constant Coefficients; 20 Paracyclic Functional Equations with Constant Coefficients Chapter 5 Systems of Linear Functional Equations21 Systems in Which Each Equation Contains All Unknown Functions; 22 Systems in Which Not All Equations Contain All Unknown Functions; PART 2 Nonlinear Complex Vector Functional Equations; Chapter 6 Quadratic Functional Equations; 23 Simple Quadratic Functional Equation; 24 Special Quadratic Functional Equation; Chapter 7 Modified Quadratic Functional Equations; 25 Basic Quadratic Functional Equation; 26 Permuted Quadratic Functional Equation; 27 First Modified Quadratic Functional Equation; 28 Second Modified Quadratic Functional Equation 29 Third Modified Quadratic Functional EquationChapter 8 Expanded Quadratic Functional Equations; 30 Expanded Quadratic Functional Equations with Functional Arguments; 31 Expanded Quadratic Functional Equations with the Same Signs between the Functions; 32 Expanded Quadratic Functional Equation with Alternating Signs between the Functions; 33 Generalized Quadratic Functional Equation; Chapter 9 Higher Order Functional Equations; 34 Higher Order Functional Equation without Parameters; 35 Higher Order Functional Equation with Complex Parameters; 36 Nonlinear Operator Functional Equation Chapter 10 Systems of Nonlinear Functional Equations37 Systems of Quadratic Functional Equations; 38 Systems of Higher Order Functional Equations; Bibliography; Index
Record Nr.	UNINA-9910454414503321

Autore	Iakovenko, S. B.
Pubbl/distr/stampa	Providence, R. I. : American Mathematical Society, c1995
Descrizione fisica	vii, 219 p. : ill. ; 26 cm
Disciplina	515.352
Altri autori (Persone)	Iliashenko, Iu. S.
Collana	Advances in the mathematical sciences ; 23 American Mathematical Society Translations, 0065-9290 ; Ser.2, v.165
Soggetto topico	Limit cycles Vector fields
ISBN	082180362X
Classificazione	AMS 34C05 AMS 34C20
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISALENTO-991000779179707536