APERIODIC NONCHAOTIC ATTRACTORS, STRANGE AND OTHERWISE

DOI10.1142/S0218127407019123zbMath1141.37308MaRDI QIDQ3502374

Ramakrishna Ramaswamy, Amitabha Nandi, Awadhesh Prasad

Publication date: 23 May 2008

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors of solutions to ordinary differential equations (34D45) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Related Items (13)

Torus-doubling process via strange nonchaotic attractors ⋮ Chaotic and non-chaotic strange attractors of a class of non-autonomous systems ⋮ A New Route to Strange Nonchaotic Attractors in an Interval Map ⋮ Digit replacement: A generic map for nonlinear dynamical systems ⋮ Strange nonchaotic attractors with Wada basins ⋮ Coexistence of Strange Nonchaotic Attractors in a Quasiperiodically Forced Dynamical Map ⋮ Potential Function in a Continuous Dissipative Chaotic System: Decomposition Scheme and Role of Strange Attractor ⋮ A lot of strange attractors: Chaotic or not? ⋮ Wada basins of strange nonchaotic attractors in a quasiperiodically forced system ⋮ Experimental distinction between chaotic and strange nonchaotic attractors on the basis of consistency ⋮ Multifarious intertwined basin boundaries of strange nonchaotic attractors in a quasiperiodically forced system ⋮ Mechanisms of strange nonchaotic attractors in a nonsmooth system with border-collision bifurcations ⋮ Design strategies for the creation of aperiodic nonchaotic attractors

Cites Work

• Unnamed Item
• Strange attractors that are not chaotic
• Local Lyapunov exponents computed from observed data
• The birth of strange nonchaotic attractors
• An example of a strange nonchaotic attractor
• Harper equation, the dissipative standard map and strange nonchaotic attractors: Relationship between an eigenvalue problem and iterated maps
• Ergodic reduction of random products of two-by-two matrices
• Strange nonchaotic attractors in the externally modulated Rayleigh-Bénard system
• Strange non-chaotic attractor in a quasiperiodically forced circle map
• Birth of strange nonchaotic attractors through type III intermittency
• Communication key using delay times in time-delayed chaos synchronization
• Dynamical mechanism for band-merging transitions in quasiperiodically forced systems
• Oscillation and Doubling of Torus
• On the structure of strange non-chaotic attractors in pinched skew products
• Roads to turbulence in dissipative dynamical systems
• Strange Nonchaotic Trajectories on Torus
• Quasiperiodically forced interval maps with negative Schwarzian derivative
• Characterizing strange nonchaotic attractors
• On the dynamics of the critical Harper map
• STRANGE NONCHAOTIC ATTRACTOR IN HIGH-DIMENSIONAL NEURAL SYSTEM
• Semi-uniform ergodic theorems and applications to forced systems
• Global attractors of pinched skew products
• STRANGE NONCHAOTIC ATTRACTORS
• MULTISTABILITY AND NONSMOOTH BIFURCATIONS IN THE QUASIPERIODICALLY FORCED CIRCLE MAP

This page was built for publication: APERIODIC NONCHAOTIC ATTRACTORS, STRANGE AND OTHERWISE