TY - JOUR

T1 - Characterization of transition to chaos with multiple positive Lyapunov exponents by unstable periodic orbits

AU - Davidchack, Ruslan

AU - Lai, Ying-Cheng

PY - 2000/6/12

Y1 - 2000/6/12

N2 - We investigate how the transition to chaos with multiple positive Lyapunov exponents can be characterized by the set of infinite number of unstable periodic orbits embedded in the chaotic invariant set. We argue and provide numerical confirmation that the transition is generally accompanied by a nonhyperbolic behavior: unstable dimension variability. As a consequence, the Lyapunov exponents, except for the largest one, pass through zero continuously. (C) 2000 Elsevier Science B.V.

AB - We investigate how the transition to chaos with multiple positive Lyapunov exponents can be characterized by the set of infinite number of unstable periodic orbits embedded in the chaotic invariant set. We argue and provide numerical confirmation that the transition is generally accompanied by a nonhyperbolic behavior: unstable dimension variability. As a consequence, the Lyapunov exponents, except for the largest one, pass through zero continuously. (C) 2000 Elsevier Science B.V.

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U2 - 10.1016/S0375-9601(00)00335-2

DO - 10.1016/S0375-9601(00)00335-2

M3 - Article

AN - SCOPUS:0034640660

VL - 270

SP - 308

EP - 313

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 6

ER -