ON THE DETECTION AND DYNAMICAL CONSEQUENCES OF ORBITS HOMOCLINIC TO HYPERBOLIC PERIODIC-ORBITS AND NORMALLY HYPERBOLIC INVARIANT TORI IN A CLASS OF ORDINARY DIFFERENTIAL-EQUATIONS

被引:59
作者
WIGGINS, S
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D O I
10.1137/0148013
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O29 [应用数学];
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070104 ;
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页码:262 / 285
页数:24
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共 36 条
[1]  
[Anonymous], 1998, ORDINARY DIFFERENTIA
[2]  
Arnol'd VI., 1963, RUSS MATH SURV, V18, P9, DOI [10.1070/RM1963v018n05ABEH004130, DOI 10.1070/RM1963V018N05ABEH004130]
[3]  
ARNOLD V, 1983, GEOMETRICAL METHODS
[4]  
Arnold V. I, 1989, MATH METHODS CLASSIC, VSecond, DOI DOI 10.1007/978-1-4757-1693-1
[5]  
ARNOLD VI, 1962, SOV MATH DOKL, V3, P136
[6]  
ARNOLD VI, 1964, SOVIET MATH DOKL, V5, P58
[7]  
Cairns S. S., 1963, DIFFERENTIAL COMBINA, P63
[8]  
Chow S.N., 2012, METHODS BIFURCATION
[9]   TRANSVERSAL HOMOCLINIC ORBITS IN AN INTEGRABLE SYSTEM [J].
DEVANEY, RL .
AMERICAN JOURNAL OF MATHEMATICS, 1978, 100 (03) :631-642
[10]   HOMOCLINIC ORBITS IN HAMILTONIAN SYSTEMS [J].
DEVANEY, RL .
JOURNAL OF DIFFERENTIAL EQUATIONS, 1976, 21 (02) :431-438