Time-varying linearization and the Perron effects
GA Leonov, NV Kuznetsov - International journal of bifurcation and …, 2007 - World Scientific
TIME-VARYING LINEARIZATION AND THE PERRON EFFECTS | International Journal of
Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick Search in …
Bifurcation and Chaos World Scientific Search This Journal Anywhere Quick Search in …
Strange nonchaotic attractors
Aperiodic dynamics which is nonchaotic is realized on Strange Nonchaotic Attractors
(SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like …
(SNAs). Such attractors are generic in quasiperiodically driven nonlinear systems, and like …
[图书][B] Nonlinear dynamics of chaotic and stochastic systems: tutorial and modern developments
VS Anishchenko, V Astakhov, A Neiman, T Vadivasova… - 2007 - Springer
We present an improved and enlarged version of our book Nonlinear-namics of Chaotic and
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …
Stochastic Systems published by Springer in 2002. Basically, the new edition of the book …
[图书][B] From simple to complex
Synchronization: From Simple to Complex is devoted to the fundamental phenomenon in
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …
physics–synchronization that occurs in coupled non-linear dissipative oscillators. Examples …
The parameterization method for invariant manifolds
Poincaré's program for the global analysis of a dynamical system starts by considering
simple solutions, such as equilibria and periodic orbits, together with their corresponding …
simple solutions, such as equilibria and periodic orbits, together with their corresponding …
Characterizing strange nonchaotic attractors
AS Pikovsky, U Feudel - Chaos: An Interdisciplinary Journal of …, 1995 - pubs.aip.org
Strange nonchaotic attractors typically appear in quasiperiodically driven nonlinear systems.
Two methods of their characterization are proposed. The first one is based on the bifurcation …
Two methods of their characterization are proposed. The first one is based on the bifurcation …
Chaos and Hopf bifurcation of a finance system
Q Gao, J Ma - Nonlinear Dynamics, 2009 - Springer
The complex dynamical behavior of a finance system is investigated in this paper. The
Ruelle–Takens route to chaos and strange nonchaotic attractors (SNA) are found through …
Ruelle–Takens route to chaos and strange nonchaotic attractors (SNA) are found through …
[图书][B] Strange nonchaotic attractors: Dynamics between order and chaos in quasiperiodically forced systems
This book is the first monograph devoted exclusively to strange nonchaotic attractors (SNA),
recently discovered objects with a special kind of dynamical behavior between order and …
recently discovered objects with a special kind of dynamical behavior between order and …
Fractalization of a torus as a strange nonchaotic attractor
T Nishikawa, K Kaneko - Physical Review E, 1996 - APS
Fractalization of a torus and its transition to chaos in a quasiperiodically forced logistic map
is reinvestigated in relation to a strange nonchaotic attractor, with the aid of a functional …
is reinvestigated in relation to a strange nonchaotic attractor, with the aid of a functional …
Strange non-chaotic attractor in a quasiperiodically forced circle map
We show that in the quasiperiodically forced circle map strange non-chaotic attractors can
appear for non-linearities far from the border of chaos. The destruction of a two-frequency …
appear for non-linearities far from the border of chaos. The destruction of a two-frequency …