Št. zadetkov: 25
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;ne zaključna dela;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)
Izvirni znanstveni članek
Oznake:
algebra;Poincaré-Dulac normal form;Lie transform;Lie algebra of vector fields;
There are two approaches to computing Poincaré-Dulac normal forms of systems of ODEs. Under the original approach used by Poincaré and Dulac the normalizing transformation is explicitly computed. On each step, the normalizing procedure requires the substitution of a polynomial into a series. Under t ...
Leto:
2026
Vir:
Fakulteta za elektrotehniko, računalništvo in informatiko (UM FERI)
Izvirni znanstveni članek
Oznake:
integrabilnost;polinomialni sistem;invariantno;polynomial system of ODEs;integrability;first order linear PDE;multigraded rings;invariants;
We investigate the integrability of polynomial vector fields through the lens of duality in parameter spaces. We examine formal power series solutions annihilated by differential operators and explore the properties of the integrability variety in relation to the invariants of the associated Lie gro ...
Leto:
2026
Vir:
Fakulteta za elektrotehniko, računalništvo in informatiko (UM FERI)
Izvirni znanstveni članek
Oznake:
integrability;linearizability;normal forms;time-reversibility;polynomial systems of ODEs;
This work addresses the integrability of four-dimensional quadratic Lotka–Volterra systems exhibiting (1:−1:i:−i) resonance by identifying the parameter constraints required for such properties to exist. Our results show that, within this family, integrability is connected to linearizability and tim ...
Leto:
2026
Vir:
Fakulteta za elektrotehniko, računalništvo in informatiko (UM FERI)
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)