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Št. zadetkov: 7
Isochronicity and normal forms of polynomial systems of ODEs
Maoan Han, Valery Romanovski
Objavljeni znanstveni prispevek na konferenci
Oznake: polynomial systems of ODE`s;isochronicity;linearizability;normal forms;
We propose a generalization of the notion of isochronicity for real polynomial autonomous systems to the case of complex two dimensional systems of ODEs. We study the generalized problem in the case of a quadratic system and a system with homogeneous cubic nonlinearities. Main tools of the study are ...
Leto: 2012 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Limit cycle bifurcations from a nilpotent focus or center of planar systems
Maoan Han, Valery Romanovski
Izvirni znanstveni članek
Oznake: matematika;limitni cikli;bifurkacija;problem centra;mathematic;limit cycles;bifurcation;center problem;
We study analytic properties of the Poincaré return map and generalized focal values of analytic planar systems with a nilpotent focus or center. We use the focal values and the map to study the number of limit cycles of this kind of systems and obtain some new results on the lower and upper bounds ...
Leto: 2012 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Estimating the number of limit cycles in polynomials systems
Maoan Han, Valery Romanovski
Izvirni znanstveni članek
Oznake: matematika;limitni cikli;bifurkacija;mathematics;limit cycles;bifurcation;
We describe a method based on algorithms of computational algebra for obtaining an upper bound for the number of limit cycles bifurcating from a center or a focus of polynomial vector field. We apply it to a cubic system depending on six parameters and prove that in the generic case at most six limi ...
Leto: 2010 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Bifurcations of planar Hamiltonian systems with impulsive perturbation
Zhaoping Hu, Maoan Han, Valery Romanovski
Izvirni znanstveni članek
Oznake: matematika;Hamiltonski sistemi;diferencialne enačbe;bifurkacija;mathematics;Hamiltonian systems;differential equations;bifurcation;
In this paper, by means of the Melnikov functions we consider bifurcations of harmonic or subharmonic solutions from a periodic solution of a planar Hamiltonian system under impulsive perturbation. We give some sufficient conditions under which a harmonic or subharmonic solution exists.
Leto: 2013 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Bifurcation of limit cycles by perturbing a piecewise linear Hamiltonian system with a homoclinic loop
Feng Liang, Maoan Han, Valery Romanovski
Izvirni znanstveni članek
Oznake: matematika;limitni cikli;homoklinična zanka;bifurkacija;mathematics;limit cycle;homoclinic loop;bifurcation;
In this paper, we study limit cycle bifurcations for a kind of non-smooth polynomial differential systems by perturbing a piecewise linear Hamiltonian system with the center at the origin and a homoclinic loop around the origin. By using the first Melnikov function of piecewise near-Hamiltonian syst ...
Leto: 2012 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Limit cycle bifurcations of some Liénard sytems
Yunmin Yang, Maoan Han, Valery Romanovski
Izvirni znanstveni članek
Oznake: matematika;bifurkacija;mathematics;bifurcation;
In this paper we first give some general theorems on the limit cycle bifurcation for near-Hamiltonian systems near a double homoclinic loop or a center as a preliminary. Then we use these theorems to study some polynomial Liénard systems with perturbations and give new lower bounds for the maximal n ...
Leto: 2010 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Periodic solutions and asymptotic analysis of ordinary differential equations
Maoan Han, Pei Yu, Valery Romanovski, Tonghua Zhang
Predgovor, spremna beseda
Oznake: matematika;periodične rešitve;asimptotska analiza;
Periodic solutions and asymptotic analysis of ordinary differential equations
Leto: 2014 Vir: Fakulteta za naravoslovje in matematiko (UM FNM)
Št. zadetkov: 7
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