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The equations which we are going to study in these notes were first presented in 1963 by E. N. Lorenz. They define a three-dimensional system of ordinary differential equations that depends on three real positive parameters. As we vary the parameters, we change the behaviour of the flow determined by the equations. For some parameter values, numerically computed solutions of the equations oscillate, apparently forever, in the pseudo-random way we now call "chaotic"; this is the main reason for the immense amount of interest generated by the equations in the eighteen years since Lorenz first presented them. In addition, there are some parameter values for which we see "preturbulence", a phenomenon in which trajectories oscillate chaotically for long periods of time before finally settling down to stable stationary or stable periodic behaviour, others in which we see "intermittent chaos", where trajectories alternate be­ tween chaotic and apparently stable periodic behaviours, and yet others in which we see "noisy periodicity", where trajectories appear chaotic though they stay very close to a non-stable periodic orbit. Though the Lorenz equations were not much studied in the years be­ tween 1963 and 1975, the number of man, woman, and computer hours spent on them in recent years - since they came to the general attention of mathematicians and other researchers - must be truly immense.

About the brand: Luxurious staples for the bedroom and bathroom. Color/pattern: Light Blue/Navy Blue 100% wrinkle-resistant brushed microfiber Duvet cover is closed with clear buttons Machine wash Imported Choose from the following: Twin/Twin XL: 68in x 90in duvet cover and one 20in x 26in standard sham Full/Queen: 90in x 92in duvet cover and two 20in x 26in standard shams King/California King: 106in x 92in duvet cover and two 20in x 36in king shams

About the brand: Finely-crafted home furnishings with a unique flair. Color/pattern: orange 100 % cotton Dry clean Imported

About the brand: Luxurious staples for the bedroom and bathroom. Color/pattern: Light Blue/Navy Blue 100% wrinkle-resistant brushed microfiber Duvet cover is closed with clear buttons Machine wash Imported Choose from the following: Twin/Twin XL: 68in x 90in duvet cover and one 20in x 26in standard sham Full/Queen: 90in x 92in duvet cover and two 20in x 26in standard shams King/California King: 106in x 92in duvet cover and two 20in x 36in king shams

Bells, Agnels, Shepherds and Kings Medleys for Organ and Piano Duet Lani Smith Bells: Ukrainian Bell Carol, Waltham, Ding! Dong! Merrily on High...

Lorenz Kriner II ~1870 - very well made and excellent sounding terz guitar!Lorenz Kriner II was the son and student of his father of the same name,...

Lorenz II is a trio of circular shaped elevated trays. Comes Ready To Go. Is perfect for both functionality as well as asthetic. Color: Brown.

MADE IN CZEK REPUBLICGOOD CONDITION

Extreme Max Winch Boxes are sure to satisfy. All models come equipped with the cable-keeper saddle for an easy cable mounting; no more messing around trying to bend cables through or around fastener plates, simply side the cable in and lock it on. The heavy-duty casing encloses some of the best-in-class components, from Oilite bushings to high-tempered chains and sprockets; these winches are built to last. Dimensions (Width x Depth x Height): 9.25 ft. x 3.5 ft. x 15.75 ft., Maximum Cable Weight: 1,600 lbs., Ratio: 12:1, Cable Sizes: 1/4 ft. x 5/16 ft., Drum Size: 2 ft., Cable Draw per Turn: 0.59 ft.

Viool 4/4 Harald Lorenz No. 8 Beautiful 4/4 size violin from the Czech Republic. Harald Lorenz instruments are handcrafted and finished with spir...

Here is a very nice EL34 6AC7 matched quad, made by RFT, ( Siemens ) but with different label.Perfectly matched within 1 % !!! Fully te...

Extreme Maximum Winch Boxes are sure to satisfy. All models come equipped with the cable-keeper saddle for an easy cable mounting, no more messing around trying to bend cables through or around fastener plates, simply slide the cable in and lock it on. The heavy-duty casing encloses some of the best-in-class components, from Oilite bushings to high-tempered chains and sprockets, these winches are built to last. Dimensions (Width x Depth x Height): 13 in. x 6 in. x 18 in. Maximum Cable Weight: 3,600 lbs. Ratio: 24.1:1Cable Sizes: 3/8 in. Drum Size: 3 in. Cable Draw per Turn: 0.43 in. Mounting Hole Spacing: 4 in. on center.

Josef Lorenz size 4/4 (full size) Luby Schonbach violin with bow and case. Czech republic. Violin 23.5 inch. Glasser bow 29 inch. The violin is in ...

Josef Lorenz size 3/4 Luby Schonbach violin with bow and case. Czech republic. Violin 21.5 x 7.5 inch. Glasser bow 27 inch. The violin is in very ...

Add a contemporary look to your home with this rustic-inspired embroidery pillow. Cotton Hand wash Imported SPECIFICATIONS 18"W x 18"H. Kids - Home And Gifts > Saks Off 5th. Safavieh. Color: Orange.

Festival of Carols - for Organ & Piano - Volume 2 Archive Edition CONTENTS: HARK, THE HERALD ANGELS SING LET ALL MORTAL FLESH KEEP SILENCE ...

Full Score/Parts for "A Living Sacrifice" for Concert Band. Brand new, never opened.

eBay Josef Lorenz size 4/4 (full size) Luby Schonbach violin with bow and case. Czech republic. Violin 23.5 inch. Glasser bow 29 inch. The violi...

Josef Lorenz size 3/4 Luby Schonbach violin with bow and case. Czech republic. Violin 21.5 x 7.5 inch. Bow 27 inch. The violin is in very good cond...

used authentic lorenz germany stuttgart candle tip 7dj8 pcc88, grail rare from a working audio grade studio tube mic w/ no noise at all! rode k2 nt...