Chaos around Hyperbolic Fixed Points

Journal of the Physical Society of Japan ◽

10.1143/jpsj.53.895 ◽

1984 ◽

Vol 53 (3) ◽

pp. 895-898 ◽

Author(s):

Hajime Hirooka ◽

Nobuhiko Saitô ◽

Joseph Ford

Keyword(s):

Fixed Points ◽

Hyperbolic Fixed Points

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A Note on Non-hyperbolic Fixed Points of One-Dimensional Maps

Progress on Difference Equations and Discrete Dynamical Systems - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-030-60107-2_12 ◽

2020 ◽

pp. 257-267

Author(s):

Sinan Kapçak

Keyword(s):

Fixed Points ◽

One Dimensional ◽

Hyperbolic Fixed Points ◽

One Dimensional Maps

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Bifurcations of hyperbolic fixed points for explicit Runge-Kutta methods

IMA Journal of Numerical Analysis ◽

10.1093/imanum/17.2.151 ◽

1997 ◽

Vol 17 (2) ◽

pp. 151-175 ◽

Author(s):

O Stein

Keyword(s):

Fixed Points ◽

Hyperbolic Fixed Points ◽

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Orbits Homoclinic to Hyperbolic Fixed Points in Three-Dimensional Autonomous Vector Fields

Introduction to Applied Nonlinear Dynamical Systems and Chaos - Texts in Applied Mathematics ◽

10.1007/0-387-21749-5_28 ◽

2006 ◽

pp. 636-686

Keyword(s):

Fixed Points ◽

Vector Fields ◽

Three Dimensional ◽

Hyperbolic Fixed Points

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Erratum. Bifurcations of hyperbolic fixed points for explicit Runge-Kutta methods

IMA Journal of Numerical Analysis ◽

10.1093/imanum/18.2.329 ◽

1998 ◽

Vol 18 (2) ◽

pp. 329-329

Author(s):

O Stein

Keyword(s):

Fixed Points ◽

Hyperbolic Fixed Points ◽

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σ-Hölder Continuous Linearization Near Hyperbolic Fixed Points in Rn

Journal of Differential Equations ◽

10.1006/jdeq.1999.3693 ◽

2000 ◽

Vol 162 (2) ◽

pp. 251-269 ◽

Author(s):

Bin Tan

Keyword(s):

Fixed Points ◽

Hölder Continuous ◽

Hyperbolic Fixed Points

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Hyperbolic fixed points and periodic orbits of Hamiltonian diffeomorphisms

Duke Mathematical Journal ◽

10.1215/00127094-2410433 ◽

2014 ◽

Vol 163 (3) ◽

pp. 565-590 ◽

Author(s):

Viktor L. Ginzburg ◽

Başak Z. Gürel

Keyword(s):

Fixed Points ◽

Periodic Orbits ◽

Hamiltonian Diffeomorphisms ◽

Hyperbolic Fixed Points

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Hyperbolic fixed points

Graduate Studies in Mathematics - Differentiable Dynamical Systems ◽

10.1090/gsm/173/02 ◽

2016 ◽

pp. 25-56

Keyword(s):

Fixed Points ◽

Hyperbolic Fixed Points

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Smooth classification of one-dimensional diffeomorphisms with hyperbolic fixed points

Siberian Mathematical Journal ◽

10.1007/bf00969997 ◽

1987 ◽

Vol 27 (6) ◽

pp. 801-804 ◽

Author(s):

G. R. Belitskii

Keyword(s):

Fixed Points ◽

One Dimensional ◽

Hyperbolic Fixed Points ◽

Smooth Classification

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On hyperbolic fixed points in ultrametric dynamics

P-Adic Numbers Ultrametric Analysis and Applications ◽

10.1134/s2070046610030052 ◽

2010 ◽

Vol 2 (3) ◽

pp. 232-240 ◽

Author(s):

Karl-Olof Lindahl ◽

Michael Zieve

Keyword(s):

Fixed Points ◽

Hyperbolic Fixed Points

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CHAOS IN NONAUTONOMOUS DIFFERENTIAL INCLUSIONS

International Journal of Bifurcation and Chaos ◽

10.1142/s0218127405013058 ◽

2005 ◽

Vol 15 (06) ◽

pp. 1919-1930 ◽

Author(s):

MICHAL FEČKAN

Keyword(s):

Differential Equations ◽

Fixed Points ◽

Ordinary Differential Equations ◽

Dry Friction ◽

Differential Inclusions ◽

Homoclinic Solutions ◽

Hyperbolic Fixed Points

The existence of a continuum of many chaotic solutions are shown for certain differential inclusions which are small nonautonomous multivalued perturbations of ordinary differential equations possessing homoclinic solutions to hyperbolic fixed points. Applications are given to dry friction problems.

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