Št. zadetkov: 19
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)
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)
Objavljeni znanstveni prispevek na konferenci (vabljeno predavanje)
Oznake:
fizika;kvantna mehanika;harmonski oscilatorji;
Exact analysis of adiabatic invariants in time dependent harmonic oscillator
Leto:
2009
Vir:
Fakulteta za naravoslovje in matematiko (UM FNM)
Izvirni znanstveni članek
Oznake:
second-order impulsive differential equations;antiperiodic boundary value conditions;Green's function;
We prove existence results for second-order impulsive differential equations with antiperiodic boundary value conditions in the presence of classical fixed point theorems. We also obtain the expression of Green's function of related linear operator in the space of piecewise continuous functions.
Leto:
2008
Vir:
Digitalna knjižnica Univerze v Mariboru (DKUM)
Izvirni znanstveni članek
Oznake:
integrabilnost;fokusne količine;stanje centra;integrability;focus quantities;center conditions;
Fix a collection of polynomial vector fields on $R^3$ with a singularity at the origin, for every one of which the linear part at the origin has two pure imaginary and one non-zero eigenvalue. Some such systems admit a local analytic first integral, which then defines a local center manifold of the ...
Leto:
2014
Vir:
Fakulteta za naravoslovje in matematiko (UM FNM)
Doktorska disertacija
Oznake:
disertacije;sistemi navadnih diferencialnih enačb;integrabilnost;linearizabilnost;limitni cikli;reverzibilnost;Hamiltonski sistemi;
Krovna tema pričujoče doktorske disertacije je kvalitativna obravnava nekaterih družin navadnih diferencialnih enačb (NDE). Osrednja pozornost je namenjena ravninskim in tridimenzionalnim polinomskim sistemom ter preiskovanju pogojev, pri katerih se sistemi ponašajo s katero od naslovnih lastnosti: ...
Leto:
2023
Vir:
Fakulteta za naravoslovje in matematiko (UM FNM)
Doktorska disertacija
Oznake:
system of ODEʼs;integrability;center problem;time-reversibility;Darboux integral;linearizability;center variety;focus quantity;limit cycle;cyclicity problem;bifurkations of critical periods;period function;isochronicity;mathematics;dissertations;
V tej doktorski disertaciji obravnavamo naslednje probleme kvalitativne teorije navadnih diferencialnih enačb (NDE): problem centra in fokusa, problem cikličnosti, problem izohronosti in problem bifurkacij kritičnih period. V prvem poglavju vpeljemo nekaj glavnih pojmov kvalitativne teorije NDE in o ...
Leto:
2013
Vir:
Fakulteta za naravoslovje in matematiko (UM FNM)
Zbornik strokovnih ali nerecenziranih znanstvenih prispevkov na konferenci
Oznake:
nelinearna dinamika;kvantna fizika;kvantni kaos;
"Let's face chaos through nonlinear dynamics"
Leto:
2011
Vir:
Medicinska fakulteta (UM MF)
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)
Doktorska disertacija
Oznake:
planar systems of ODEʼs;higher dimensional system of ODEʼs;phase portrait;nilpotent center;limit cylces;Poincaré compactification;center problem;Bautin ideal;focus quantities;time-reversibility;integrability problem;darboux method;linearizability;limit cycle;cyclicity;dissertations;
This doctoral dissertation is devoted to the studies of some qualitative properties of certain polynomial systems of ordinary differential equations. The main problems that are considered in this thesis are the problems of integrability and cyclicity. Some results on the classification of the global ...
Leto:
2016
Vir:
Fakulteta za naravoslovje in matematiko (UM FNM)