Geodesic

Issue no. 1 Table of Contents

Editorial
p. 5-7
A brief review of the research results of new methods for generating, transmitting and receiving oscillations and waves based on fractal geometry methods
p. 8-28
Nonlinear two-dimensional dynamics of interacting cancer cells under extracellular field conditions
p. 29-45
Link between the self-organization of dynamic cutting system and tool wear
p. 46-61
Modeling of oscillating population dynamics of aquatic organisms in the > system using cellular automata
p. 62-76
Dynamics of a network of map-based model neurons for supervised learning of a reservoir computing system
p. 77-89
Interaction between PFC neural networks ultraslow fluctuations and brain oscillations
p. 90-97
Detecting the primary time scale of evolution of information properties for local field potentials in brain at absence epilepsy
p. 98-110
To the memory of B. S. Dmitriev
p. 111-112

Issue no. 2 Table of Contents

Editorial
p. 117-119
Threshold stability of the synchronous mode in a power grid with hub cluster topology
p. 120-139
Nonlinear problem of temperature distribution inside the Earth
p. 140-157
World market development scenario in the context of the coronavirus crisis
p. 158-167
Magnetic field direction influence on the spectrum of spin waves output signals at three-magnon decay of magnetostatic surface waves in a cross based on waveguides of yttrium iron garnet film
p. 168-185
Strange waves in the ensemble of van der pol oscillators
p. 186-200
Reconstruction of noisy system correlation dimension
p. 201-207
The 100th anniversary of fractal geometry: From Julia and Fatou through Hausdorff and Besicovitch to Mandelbrot
p. 208-222
To the memory of Sergey P. Kuznetsov
p. 223-224

Issue no. 3 Table of Contents

Editorial
p. 229-230
On homoclinic attractors of three-dimensional flows
p. 231-258
Multistability and memory effects in dynamical system with cosymmetric potential
p. 259-273
Method for characteristic phase detection in systems with complex topology of attractor being near the boundary of generalized synchronization
p. 274-281
Thalamo-cortical dysrhythmia and its diagnostic principles
p. 282-298
Autowave structures in two-dimensional lattices of nonlocally coupled oscillators
p. 299-323
Wave processes in a ring of memristively coupled self-excited oscillators
p. 324-340

Issue no. 4 Table of Contents

To the memory of Dmitry I. Trubetskov
p. 345-346
To the memory of Yuri I. Levin
Analysis of steady-state stability for intracavity optical parametric oscillator: method of small-parameter expansion
p. 348-360
Normalized boundary value problems in the model of optoelectronic oscillator delayed
p. 361-382
Synchronization of infections spread processes in populations interacting: Modeling by lattices of cellular automata
p. 383-396
Reconstructing the neuron-like oscillator equations modeled by a phase-locked system with delay from scalar time series
p. 397-413
About nonlinear theory of two-cavity klystron with a drift space in the form of medium with complex permittivity
p. 414-424
Numerical simulation of magnetostatic waves propagation in coupled meander-type magnon crystals
p. 425-434
Waves of strain in two coaxial cubically nonlinear cylindrical shells with a viscous fluid between them
p. 435-454

Issue no. 5 Table of Contents

Editorial
On a simplified description of waves in non-collision plasmas
p. 460-464
Collective dynamics of networks of active units with pulse coupling: Review
p. 465-490
Dynamics of cylindrical electron beams injecting in a half-space with perfectly-conducting boundary
p. 491-504
Multilayer field emitters on a thin metal substrate
p. 505-512
Mathematical modeling of a low-voltage multibeam klystron of millimeter range
p. 513-523
Cycles-canards and torus-canards in a weakly inhomogeneous ensemble of FitzHugh–Nagumo neurons with excitatory synaptic couplings
p. 524-546
Scientific history fragments of the Big physical auditorium of Saratov University. Two Congresses – two of Vavilovs
p. 547-566

Issue no. 6 Table of Contents

Editorial
p. 571-574
Two-dimensional distributed feedback as a method for generation of powerful coherent radiation from spatially-extended relativistic electron beams
p. 575-632
Numerical study of dynamical system generated by CABC vector field
p. 633-642
Existence criterion for the equations solution of ideal gas motion at given helical velocity
p. 643-652
Approaches to study of multistability in spatio-temporal dynamics of two-age population
p. 653-678