## Found 2,038 Documents (Results 1–100)

100
MathJax

### Pullback attractors via quasi-stability for non-autonomous lattice dynamical systems. (English)Zbl 07569529

MSC:  37L30 37L60 34D45
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MSC:  82-XX
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### Geometric percolation of spherically symmetric fractal aggregates. (English)Zbl 07558544

MSC:  74E35 74Q15 28A80
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### Separation properties for bi-Lipschitz iterated function systems. (English)Zbl 07553239

MSC:  28Axx 37Cxx 28-XX
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### On box dimension of Hadamard fractional integral (partly answer fractal calculus conjecture). (English)Zbl 07553235

MSC:  28Axx 26Axx 37Cxx
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### Information dimension of Galton board. (English)Zbl 07553220

MSC:  94A15 94A17
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### A study of topological conjugacies between alternate representation systems. (English)Zbl 07550934

MSC:  26A30 11K55
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MSC:  35Qxx
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### A note on the relation between the metric entropy and the generalized fractal dimensions of invariant measures. (English)Zbl 07543740

MSC:  37B40 37C45
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### Ahlfors regularity and fractal dimension of Smale spaces. (English)Zbl 07543364

MSC:  37D20 37B10
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### On two-scale dimension and its application for deriving a new analytical solution for the fractal Duffing’s equation. (English)Zbl 07537377

MSC:  70Kxx 34Cxx 28Axx
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### A scaling law chaotic system. (English)Zbl 07537373

MSC:  37Dxx 76Exx 37-XX
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### Approximation of the same box dimension in continuous functions space. (English)Zbl 07537356

MSC:  28Axx 41Axx 26Axx
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### Finite fractal dimension of random attractors for non-autonomous fractional stochastic reaction-diffusion equations in $$\mathbb{R}$$. (English)Zbl 07518229

MSC:  37L55 35Q56
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### Attractors for semigroups and evolution equations. With an introduction by Gregory A. Seregin, Varga K. Kalantarov and Sergey V. Zelik. Reprint of the 1991 edition with a new introduction. (English)Zbl 07516541

Cambridge Mathematical Library. Cambridge: Cambridge University Press (ISBN 978-1-00-922982-1/pbk; 978-1-00-922981-4/ebook). xxviii, 68 p. (2022).
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### Generalized fractals in semimetric spaces. (English)Zbl 07515356

MSC:  47H09 47H10 28A80
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### Design of wireless sensor network using statistical fractal measurements. (English)Zbl 07507576

MSC:  28Axx 11Kxx 37Fxx
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MSC:  68U10
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### Visualization of RNA secondary structure with pseudoknots. (English)Zbl 07492594

MSC:  92D20 28A80
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### $$\mathcal{L}^p$$-approximation using fractal functions on the Sierpiński gasket. (English)Zbl 1486.28005

MSC:  28A80 41A10
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### Estimates for the dimension of attractors of a regularized Euler system with dissipation on the sphere. (English. Russian original)Zbl 07488478

Math. Notes 111, No. 1, 47-57 (2022); translation from Mat. Zametki 111, No. 1, 54-66 (2022).
MSC:  35Qxx 35Bxx 37Lxx
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### Sharp upper and lower bounds of the attractor dimension for 3D damped Euler-Bardina equations. (English)Zbl 07487486

MSC:  35Q31 37-XX
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MSC:  82-XX
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MSC:  82-XX
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### Intermediate dimension of images of sequences under fractional Brownian motion. (English)Zbl 1478.60124

MSC:  60G22 60G15
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### A new approach to measure the fractal dimension of a trajectory in the high-dimensional phase space. (English)Zbl 07568925

MSC:  37-XX 28-XX
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### A remarkable fact for the box dimensions of fractal interpolation curves of $$\mathbb{R}^3$$. (English)Zbl 07568897

MSC:  37C45 28A80
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### Detection and classification of epileptic EEG signals by the methods of nonlinear dynamics. (English)Zbl 07568889

MSC:  92-XX 94-XX
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### Coupled hydro-mechanical modeling of gas flow in shale matrix considering the fractal characteristics of nanopores. (English)Zbl 07542125

MSC:  76S05 76N15 28A80
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### Relationship of upper box dimension between continuous fractal functions and their Riemann-Liouville fractional integral. (English)Zbl 07542123

MSC:  28Axx 26Axx 37Cxx
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### The effect of noise and nonlinear noise reduction methods on the fractal dimension of chaotic time series. (English)Zbl 07542118

MSC:  37Dxx 34Cxx 28Axx
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### Some properties for the Riemann-Liouville fractal calculus of continuous functions. (English)Zbl 07542109

MSC:  26Axx 28Axx 34Axx
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### R-l algorithm: an approximation algorithm for fractal signals based on fractional calculus. (English)Zbl 07542104

MSC:  26Axx 28Axx 11Mxx
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### A novel fractal model for the invasion depth of fluid through the tortuous capillary bundle with roughened surfaces in porous media. (English)Zbl 07542102

MSC:  76S05 28A80
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### Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity. (English)Zbl 07533400

MSC:  35K57 35B40 35B41
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### Investigating the complex behaviour of multi-scroll chaotic system with Caputo fractal-fractional operator. (English)Zbl 07526792

MSC:  26A33 34A08 35R11
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### Effect of non-uniform diameter and fractal dimension of $$\text{Al}_2\text{O}_3$$ nanoparticle on double-diffusion in tilted enclosure. (English)Zbl 07512500

MSC:  80-XX 76-XX
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### Electroless, diffusion limited aggregation of lead dendrites. (English)Zbl 07512482

MSC:  80-XX 82-XX
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### Bifurcation and chaos analysis of a spur gear pair system with fractal gear backlash. (English)Zbl 07511314

MSC:  74-XX 92-XX
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### Fractal functions of exponential type that is generated by the $$Q_2^*$$-representation of argument. (English)Zbl 07509979

MSC:  28-XX 28A80 28A78
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### Generalized fractal dimensions of invariant measures of full-shift systems over compact and perfect spaces: generic behavior. (English)Zbl 07509458

MSC:  37A05 28D05 37A50
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### Moran type theorems and irreducible fractal structures. (English)Zbl 1485.28011

Walczak, Szymon (ed.), Proceedings of the contemporary mathematics in Kielce 2020, Kielce, Poland, February 24–27, 2021. Warsaw: De Gruyter/Sciendo. 85-97 (2021).
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### Fractal dimension on the difference of Thai dance gestures using time series movement. (English)Zbl 07475076

MSC:  28A80 00A66 62J02
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### A new fractal apparent permeability model for liquid flow in tortuous nanopores from lattice Boltzmann simulations to the theoretical model. (English)Zbl 1482.76121

MSC:  76S05 76M28 28A80
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### Algorithm to calculate the fractal dimension and numerical integration of fluctuating continuous functions. (English)Zbl 1483.65040

MSC:  65D30 28A80
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### Relationship between upper box dimension of continuous functions and orders of Weyl fractional integral. (English)Zbl 07468108

MSC:  28A78 26A33 28A80
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### Further discussion about fractional differentiability of certain continuous functions. (English)Zbl 07468107

MSC:  26A33 28A80
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### Analysis on Weyl-Marchaud fractional derivative for types of fractal interpolation function with fractal dimension. (English)Zbl 07468100

MSC:  65-XX 26-XX
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### Fractal dimension estimation of the Marchaud fractional differential of certain continuous functions. (English)Zbl 07467706

MSC:  28A80 26A33 28A78
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### An analytical model for pore and tortuosity fractal dimensions of porous media. (English)Zbl 1482.74072

MSC:  74F10 28A80
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### Analysis of mixed Weyl-Marchaud fractional derivative and box dimensions. (English)Zbl 07467682

MSC:  28A78 26A33
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### Calculation of fractal dimension based on artificial neural network and its application for machined surfaces. (English)Zbl 07467667

MSC:  68-XX 94-XX
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MSC:  28A80
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MSC:  28A78
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### Stress sensitivity analysis of fractal porous media based on the elasto-plastic thick-walled cylinder model. (English)Zbl 1482.74069

MSC:  74F10 74C05 28A80
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### The power function hidden in the vulnerability of fractal complex networks. (English)Zbl 07465412

MSC:  68-XX 82-XX
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### Fractal dimension-based generalized box-counting technique with application to grayscale images. (English)Zbl 07465398

MSC:  68-XX 94-XX
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MSC:  62-XX
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### Upper box dimension of Riemann-Liouville fractional integral of fractal functions. (English)Zbl 1487.28005

MSC:  28A78 26A33
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### Julia set of some graphs using independence polynomials. (English)Zbl 1480.05074

Devaney, Robert L. (ed.) et al., Topological dynamics and topological data analysis. IWCTA 2018. Selected papers based on the presentations at the international workshop and conference on topology & applications, Kochi, India, December 9–11, 2018. Singapore: Springer. Springer Proc. Math. Stat. 350, 193-202 (2021).
MSC:  05C31 05C69 28A80
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MSC:  35Qxx
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### A characterization of metric subspaces of full Assouad dimension. (English)Zbl 1485.28008

MSC:  28A78 28A80 53C23
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### Construction and box dimension of recurrent fractal interpolation surfaces. (English)Zbl 1485.28015

MSC:  28A80 41A30
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### Dimension estimates for $$C^1$$ iterated function systems and $$C^1$$ repellers, a survey. (English)Zbl 1485.37020

Pollicott, Mark (ed.) et al., Thermodynamic formalism. CIRM Jean-Morlet chair, fall 2019. Cham: Springer. Lect. Notes Math. 2290, 421-467 (2021).
MSC:  37C45 37C70 37A05
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### Two-scale mathematical model for tsunami wave. (English)Zbl 1476.86002

MSC:  86-10 86A15
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### Finite dimensional attractors for binary mixtures of viscoelastic bodies. (English)Zbl 1479.35125

MSC:  35B41 35L53 74K10
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### Fractional and fractal advection-dispersion model. (English)Zbl 1484.35372

MSC:  35R11 28A80 35Q35
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### Pullback exponential attractors for differential equations with delay. (English)Zbl 1484.37034

MSC:  37C60 37C45
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### Reflection and transmission of transient ultrasonic wave in fractal porous material: application of fractional calculus. (English)Zbl 07428552

MSC:  74-XX 76-XX
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### Sharp dimension estimates for the attractors of the regularized damped Euler system. (English. Russian original)Zbl 1477.35149

Dokl. Math. 104, No. 1, 169-172 (2021); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 499, 13-16 (2021).
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### Quantifying patterns in art and nature. (English)Zbl 1472.00047

MSC:  00A66 28A80 92C15
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### Simulation of large aggregate particles system with a new morphological model maxime. (English)Zbl 07405264

MSC:  82D20 60J65 28A80
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### Dimensional analysis of $$\alpha$$-fractal functions. (English)Zbl 1478.28009

MSC:  28A80 26A18 35B41
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