메뉴 건너뛰기




Volumn 59, Issue 4, 1999, Pages R3799-R3802

Route to high-dimensional chaos

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001277505     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.R3799     Document Type: Article
Times cited : (59)

References (33)
  • 1
    • 85037244976 scopus 로고    scopus 로고
    • While there has been no formal definitions of low-dimensional versus high-dimensional chaos, here we take the notion that low-dimensional chaos is characterized by one positive Lyapunov exponent, and high-dimensional chaos by more than one
    • While there has been no formal definitions of low-dimensional versus high-dimensional chaos, here we take the notion that low-dimensional chaos is characterized by one positive Lyapunov exponent, and high-dimensional chaos by more than one.
  • 14
    • 85037223679 scopus 로고    scopus 로고
    • The necessary ingredient for the transition here is that the driver is deeply in a chaotic state, regardless of its own route to chaos
    • The necessary ingredient for the transition here is that the driver is deeply in a chaotic state, regardless of its own route to chaos.
  • 15
  • 25
    • 85037183372 scopus 로고    scopus 로고
    • High-dimensional chaos with more than two positive Lyapunov exponents can be studied in a similar manner
    • High-dimensional chaos with more than two positive Lyapunov exponents can be studied in a similar manner.
  • 27
    • 44949272537 scopus 로고
    • L. YuPhysica D 53, 102 (1991).
    • (1991) Physica D , vol.53 , pp. 102
    • Yu, L.1
  • 31
    • 85037194624 scopus 로고    scopus 로고
    • For a continuous-time flow, one of the Lyapunov exponents, the one along the flow, must be zero. Thus, in Fig. 33, at the transition to high-dimensional chaos, (Formula presented) changes from zero to being positive and (Formula presented) changes from being negative to zero, but the negative part of (Formula presented) before the transition and the positive part of (Formula presented) after the transition appear to be continuous through the transition
    • For a continuous-time flow, one of the Lyapunov exponents, the one along the flow, must be zero. Thus, in Fig. 33, at the transition to high-dimensional chaos, (Formula presented) changes from zero to being positive and (Formula presented) changes from being negative to zero, but the negative part of (Formula presented) before the transition and the positive part of (Formula presented) after the transition appear to be continuous through the transition.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.