共查询到20条相似文献,搜索用时 234 毫秒
1.
THEANALYTICALSTUDYONTHELASERINDUCEDREVERSE-PLUGGINGEFFECTBYUSINGTHECLASSICALELASTICPLATETHEORY(II)──REVERSE-BULGEMOTION¥(周益春,... 相似文献
2.
ANOTHER CLASS D'ALEMBERT PRINCIPLE AND A NEW MAGGI EQUATION FOR ARBITRARY ORDER NONHOLONOMIC MECHANICAL SYSTEMS IN DERIVATIVE... 相似文献
3.
THECALCULATIONOFTHEMULTIPLY-CONNECTEDELASTICPLANEPROBLEMSBYMEANSOFSTRESSFUNCTIONSOFMULTIPLECOMPLEXVARIABLESwangLindiang(王林江)L... 相似文献
4.
LARGEDEFLECTIONPROBLEMOFTHINORTHOTROPICCIRCULARPLATEONELASTICFOUNDATIONWITHVARIABLETHICKNESSUNDERUNIFORMPRESSURE(王嘉新)(刘杰)LARG... 相似文献
5.
THEANALYTICALSTUDYONTHELASERINDUCEDREVERSE-PLUGGINGEFFECTBYUSINGTHECLASSICALELASTICPLATETHEORY(Ⅰ)-TEMPERATUREFIELDSZhouYichun... 相似文献
6.
THEANALYTICALSTUDYONTHELASERINDUCEDREVERSE-PLUGGINGEFFECTBYUSINGTHECLASSICALEIASTICPLATETHEORY(I)─TEMPERATUREFIELDSZhouYichun... 相似文献
7.
NUMERICALMODELINGOFTHEINITIALSTAGEOFTHEGENERATIONOFUNSTEADYVORTICESFROMSHARPCORNERINPLANECOMPRESSIBLEFLOWHuangDun(黄敦)(Depart.... 相似文献
8.
A COMPARATIVE STUDY OF THE OPENING AND CLOSING PROCESS OF TWO TYPES OF MECHANICAL HEART VALVES USING ALE FINITE ELEMENT METHOD 总被引:1,自引:0,他引:1
ACOMPARATIVESTUDYOFTHEOPENINGANDCLOSINGPROCESSOFTWOTYPESOFMECHANICALHEARTVALVESUSINGALEFINITEELEMENTMETHODACOMPARATIVESTUDYOF... 相似文献
9.
(杨伯源)(李勇)NUMERICALSIMULATIONOFFLOWOFHIGHLYVISCOELASTICFLOWINTHREE-DIMENSIONALVARYINGTHICKSLITCHANNEL¥YangBoyuan;LiYong(Depart... 相似文献
10.
沈孝明 《应用数学和力学(英文版)》1994,15(6):561-569
MIXEDCOMPATIBLEELEMENTANDMIXEDHYBRIDINCOMPATIBLEELEMENTVARIATIONALMETHODSINDYNAMICSOFVISCOUSBAROTROPICFLUIDSShenXiao-ming(沈孝明... 相似文献
11.
Homoclinic orbits in a shallow arch subjected to periodic excitation are investigated in the presence of 1:1 internal resonance and external resonance. The method of multiple scales is used to obtain a set of near-integrable systems. The geometric singular perturbation method and Melnikov method are employed to show the existence of the one-bump and multi-bump homoclinic orbits that connect equilibria in a resonance band of the slow manifold. These orbits arise from singular homoclinic orbits and are composed of alternating slow and fast pieces. The result obtained imply the existence of the amplitude-modulated chaos for the Smale horseshoe sense in the class of shallow arch systems. 相似文献
12.
Singular perturbation theory for homoclinic orbits in a class of near-integrable Hamiltonian systems
Gregor Kovačič 《Journal of Dynamics and Differential Equations》1993,5(4):559-597
This paper describes a new type of orbits homoclinic to resonance bands in a class of near-integrable Hamiltonian systems. It presents a constructive method for establishing whether small conservative perturbations of a family of heteroclinic orbits that connect pairs of points on a circle of equilibria will yield transverse homoclinic connections between periodic orbits in the resonance band resulting from the perturbation. In any given example, this method may be used to prove the existence of such transverse homoclinic orbits, as well as to determine their precise shape, their asymptotic behavior, and their possible bifurcations. The method is a combination of the Melnikov method and geometric singular perturbation theory for ordinary differential equations. 相似文献
13.
Zhihong Xia 《Journal of Dynamics and Differential Equations》1993,5(2):219-240
In this paper, we show the existence of the Arnold diffusion in the elliptic restricted three-body problem. This gives one of the very few examples of Arnold diffusion in real physical systems. The construction is based on the transversal homoclinic orbits in the circular restricted three-body problem ([6, 7, 14]). We prove that the small perturbations to the horseshoe maps in the neighborhood of the homoclinic orbits creates the Arnold diffusion. The existence of the Arnold diffusion also shows that the elliptic restricted three-body problem is non-integrable. 相似文献
14.
Weiyao Zeng 《Journal of Dynamics and Differential Equations》1995,7(4):521-548
In this paper, we first give a sufficient condition which assures that a linear differential equation depending on a small parameter admits an exponential dichotomy onR, then we use the result obtained here on exponential dichotomies to investigate the existence of transversal homoclinic orbits of perturbed differential systems in two degenerate cases and obtain a Melnikov-type vector. The results on exponential dichotomies of this paper provide us a tool of proving the transversality of homoclinic orbits in studying degenerate bifurcations.This work is supported by NSF of China. 相似文献
15.
In this paper, we study the discrete cubic nonlinear Schrödinger lattice under Hamiltonian perturbations. First we develop a complete isospectral theory relevant to the hyperbolic structures of the lattice without perturbations. In particular, Bäcklund–Darboux transformations are utilized to generate heteroclinic orbits and Melnikov vectors. Then we give coordinate-expressions for persistent invariant manifolds and Fenichel fibers for the perturbed lattice. Finally based upon the above machinery, existence of codimension 2 transversal homoclinic tubes is established through a Melnikov type calculation and an implicit function argument. We also discuss symbolic dynamics of invariant tubes each of which consists of a doubly infinite sequence of curve segments when the lattice is four dimensional. Structures inside the asymptotic manifolds of the transversal homoclinic tubes are studied, special orbits, in particular homoclinic orbits and heteroclinic orbits when the lattice is four dimensional, are studied. 相似文献
16.
A new method for rigorously establishing the existence of a transversal homoclinic orbit to a periodic orbit (or a fixed point) of diffeomorphisms in Rn is presented. It is a computer-assisted technique with two main components. First, a global Newton’s method is devised to compute a suitable pseudo (approximate) homoclinic orbit to a pseudo periodic orbit. Then, a homoclinic shadowing theorem, which is proved herein, is invoked to establish the existence of a true transversal homoclinic orbit to a true periodic orbit near these pseudo orbits. 相似文献
17.
Sliding dynamics is a peculiar phenomenon to discontinuous dynamical systems, while homoclinic orbits play a role in studying the global dynamics of dynamical systems. This paper provides a method to ensure the existence of sliding homoclinic orbits of three-dimensional piecewise affine systems. In addition, sliding cycles are obtained by bifurcations of the systems with sliding homoclinic orbits to saddles. Two examples with simulations of sliding homoclinic orbits and sliding cycles are provided to illustrate the effectiveness of the results.
相似文献18.
19.
In this paper, the problem of homoclinic bifurcation accompanied by a transcritical bifurcation is investigated for high-dimensional systems. With the aid of a suitable local coordinate system, the Poincaré map is constructed. Under certain nongeneric conditions (orbit flip and inclination flip homoclinic orbits), the existence, nonexistence, coexistence and uniqueness of homoclinic and periodic orbits are studied. Some known results are extended. 相似文献
20.
Periodic and Homoclinic Motions in Forced,Coupled Oscillators 总被引:2,自引:0,他引:2
We study periodic and homoclinic motions in periodically forced, weakly coupled oscillators with a form of perturbations of two independent planar Hamiltonian systems. First, we extend the subharmonic Melnikov method, and give existence, stability and bifurcation theorems for periodic orbits. Second, we directly apply or modify a version of the homoclinic Melnikov method for orbits homoclinic to two types of periodic orbits. The first type of periodic orbit results from persistence of the unperturbed hyperbolic periodic orbit, and the second type is born out of resonances in the unperturbed invariant manifolds. So we see that some different types of homoclinic motions occur. The relationship between the subharmonic and homoclinic Melnikov theories is also discussed. We apply these theories to the weakly coupled Duffing oscillators. 相似文献