Homoclinic solution and chaos in
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Publication:3909347
DOI10.1016/0362-546X(81)90052-3zbMath0459.34040MaRDI QIDQ3909347
Publication date: 1981
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Li-Yorke chaosphysiological processesPoincare mapsnap back repellerblood cell populationshomoclinic solution with respect to a periodic orbitintersection of stable and unstable manifoldsnonuniqueness for backward initial value problem
Medical applications (general) (92C50) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99) Dynamical systems and ergodic theory (37-XX)
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Cites Work
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- Density of slowly oscillating solutions of x(t)=-f(x(t-1))
- Existence of periodic solutions of one-dimensional differential-delay equations
- Snap-back repellers imply chaos in \(\mathbb{R}^n\)
- Period Three Implies Chaos
- Oscillation and Chaos in Physiological Control Systems
