A COMPUTER-ASSISTED STUDY OF GLOBAL DYNAMIC TRANSITIONS FOR A NONINVERTIBLE SYSTEM
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Publication:3498726
DOI10.1142/S021812740701780XzbMath1185.37174OpenAlexW1998397211MaRDI QIDQ3498726
Rafael de la Llave, Raymond A. Adomaitis, Ioannis G. Kevrekidis
Publication date: 16 May 2008
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s021812740701780x
Low-dimensional dynamical systems (37E99) Approximation methods and numerical treatment of dynamical systems (37M99) Software, source code, etc. for problems pertaining to dynamical systems and ergodic theory (37-04)
Related Items (7)
Computation of domains of analyticity for some perturbative expansions of mechanics ⋮ Computation of quasiperiodic normally hyperbolic invariant tori: rigorous results ⋮ THE TROUBLE WITH SPURIOUS EIGENVALUES ⋮ Existence of non-smooth bifurcations of uniformly hyperbolic invariant manifolds in skew product systems ⋮ SNA's in the quasi-periodic quadratic family ⋮ Flow map parameterization methods for invariant tori in Hamiltonian systems ⋮ Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction
Cites Work
- Computational chaos - a prelude to computational instability
- Numerical computation of invariant circles of maps
- Strange attractors that are not chaotic
- Nonlinear dynamics in adaptive control: Periodic and chaotic stabilization. II: Analysis
- Bifurcation in model reference adaptive control systems
- Recurrences and discrete dynamic systems
- Bifurcations de tores invariants
- Noninvertibility and the structure of basins of attraction in a model adaptive control system
- Nonlinear dynamics in adaptive control: Chaotic and periodic stabilization
- Numerical computation of the normal behaviour of invariant curves ofn-dimensional maps
- THE TROUBLE WITH SPURIOUS EIGENVALUES
- Stable Orbits and Bifurcation of Maps of the Interval
- On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps
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