QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART I: EXPERIMENTAL EVIDENCE

DOI10.1142/S0218127404009570zbMath1129.37315MaRDI QIDQ4655606

O. De Feo

Publication date: 8 March 2005

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

zbMATH Keywords

pattern recognitionSynchronizationhomoclinic chaosperiodic control theory

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Complex behavior and chaotic systems of ordinary differential equations (34C28) Control/observation systems governed by ordinary differential equations (93C15) Hyperbolic singular points with homoclinic trajectories in dynamical systems (37G20)

Related Items (7)

GLOBAL BIFURCATIONS AND CHAOTIC DYNAMICS IN SUSPENDED CABLES ⋮ QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART II: MATHEMATICAL ANALYSIS ⋮ CLASSIFICATION OF CHAOTIC SEQUENCES WITH OPEN-LOOP ESTIMATOR — OPTIMAL DESIGN FOR NOISY ENVIRONMENTS ⋮ THEORIES OF MULTI-PULSE GLOBAL BIFURCATIONS FOR HIGH-DIMENSIONAL SYSTEMS AND APPLICATION TO CANTILEVER BEAM ⋮ TRANSFORMING SUBHARMONIC CHAOS TO HOMOCLINIC CHAOS SUITABLE FOR PATTERN RECOGNITION ⋮ TUNING CHAOS SYNCHRONIZATION AND ANTI-SYNCHRONIZATION FOR APPLICATIONS IN TEMPORAL PATTERN RECOGNITION ⋮ Multi-pulse orbits and chaotic dynamics in motion of parametrically excited viscoelastic moving belt

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• QUALITATIVE RESONANCE OF SHIL'NIKOV-LIKE STRANGE ATTRACTORS, PART II: MATHEMATICAL ANALYSIS
• Pole assignment for linear periodic systems by memoryless output feedback
• Synchronization in chaotic systems

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